Boris L Tsygan

  • 488 Citations
1983 …2020
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Personal profile

Research Interests

Non-commutative geometry, index theory, microlocal analysis, deformation quantization, mathematical physics, and sympletic geometry.

Education/Academic qualification

Pure Mathematics, PhD, Moscow State University, USSR, Moscow

… → 1987

Undergraduate Studies, Kiev State University, USSR, Kiev

… → 1980

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  • 4 Similar Profiles
Deformation Quantization Mathematics
Index Theorem Mathematics
Formality Mathematics
Hochschild Homology Mathematics
Operad Mathematics
Graded Lie Algebras Mathematics
Gerbe Mathematics
Symplectic Manifold Mathematics

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Grants 2003 2020

Research Output 1983 2018

  • 488 Citations
  • 32 Article
  • 4 Conference contribution
  • 3 Chapter
  • 1 Editorial
1 Citation (Scopus)

A microlocal category associated to a symplectic manifold

Tsygan, B. L., Jan 1 2018, Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. Hitrik, M., Tamarkin, D., Tsygan, B. & Zelditch, S. (eds.). Springer New York LLC, p. 225-337 113 p. (Springer Proceedings in Mathematics and Statistics; vol. 269).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Symplectic Manifold
Enriched Category
Deformation Quantization
Module
Local System

Preface

Hitrik, M., Tamarkin, D. E., Tsygan, B. L. & Zelditch, S. M., Jan 1 2018, In : Springer Proceedings in Mathematics and Statistics. 269, p. v-Xiv

Research output: Contribution to journalEditorial

On quasi-classical limits of DQ-algebroids

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B., Jan 1 2017, In : Compositio Mathematica. 153, 1, p. 41-67 27 p.

Research output: Contribution to journalArticle

Classical Limit

Deligne groupoid revisited

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B. L., Jul 7 2015, In : Theory and Applications of Categories. 30, p. 1001-1016 16 p., 29.

Research output: Contribution to journalArticle

Simplicial Set
Graded Lie Algebras
Groupoid
Differential Forms
Nerve
4 Citations (Scopus)

Formality theorem for gerbes

Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B. L., Mar 9 2015, In : Advances in Mathematics. 273, p. 215-241 27 p.

Research output: Contribution to journalArticle

Gerbes
Formality
Deformation Theory
Gerbe
Vector Control